Only in a liberal arts program. In an engineering program, there is almost none. Other programs may fall in between. When I was at UC Davis (which was before Biological Sciences was its own college), the non-major liberal arts course load went (both in general, and where multiple colleges had the same degree program, between those specific programs) College of Letters and Science > College of Agricultural and Environmental Sciences > College of Engineering.
> For example, my engineering degree required 3 English classes, psychology, fine arts, and sociology.
That's, what, semester and a half all told? That's an odd basis for claiming “a lot”.
> The university says they're there to make you well rounded, but we all know it's an excuse to charge more money.
No, if they wanted an excuse to charge you more money they'd drop the liberal arts requirement, keep the length of the program constant, and add more engineering courses, whose faculty are much higher paid, and keep the same tuition to cost ratio.